Solve for c 3/5c=-6 1/4

Math
35c=-614
Combine 35 and c.
3c5=-614
Convert 614 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
3c5=-(6+14)
Add 6 and 14.
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To write 6 as a fraction with a common denominator, multiply by 44.
3c5=-(6⋅44+14)
Combine 6 and 44.
3c5=-(6⋅44+14)
Combine the numerators over the common denominator.
3c5=-6⋅4+14
Simplify the numerator.
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Multiply 6 by 4.
3c5=-24+14
Add 24 and 1.
3c5=-254
3c5=-254
3c5=-254
3c5=-254
Multiply both sides of the equation by 53.
53⋅3c5=53⋅(-254)
Simplify both sides of the equation.
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Simplify 53⋅3c5.
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Cancel the common factor of 5.
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Cancel the common factor.
53⋅3c5=53⋅(-254)
Rewrite the expression.
13⋅(3c)=53⋅(-254)
13⋅(3c)=53⋅(-254)
Cancel the common factor of 3.
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Factor 3 out of 3c.
13⋅(3(c))=53⋅(-254)
Cancel the common factor.
13⋅(3c)=53⋅(-254)
Rewrite the expression.
c=53⋅(-254)
c=53⋅(-254)
c=53⋅(-254)
Multiply 53(-254).
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Multiply 53 and 254.
c=-5⋅253⋅4
Multiply 5 by 25.
c=-1253⋅4
Multiply 3 by 4.
c=-12512
c=-12512
c=-12512
The result can be shown in multiple forms.
Exact Form:
c=-12512
Decimal Form:
c=-10.416‾
Mixed Number Form:
c=-10512
Solve for c 3/5c=-6 1/4

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